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3 years ago

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Tomas has a garden with a length of 2.45 meters and a width of 5/8 meters.Use benchmarks to estimate the area and perimeter of t

he garden.

1 answer:

vovikov84 [41]3 years ago

3 0

The dimensions of the rectangle is 2.45 m by 5/8 m
thus the area will be:
A=length*width
A=2.45×5/8
A=1.53125 m²
Perimeter will be:
P=2(L+W)
P=2(2.45+5/8)
P=2(3.075)
P=6.15 m

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The relation between these two variables can be represented by the linear equation:

y = 4ft + 2.5ft*x

<h3 /><h3>How to write an equation that represents this relationship?</h3>

We know that the original height of the tree was 4 ft, and it grows 2.5 feet each year.

Then if we define the variables:

y = height.

x = number of years.

The relation between these two variables can be represented by the linear equation:

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This linear equation relates the height of the tree as a function of the number of years since it was planted.

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10 months ago

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A circus tent is cylindrical up to a height of 7 m and is in the shape of a cone over it, the diameter of the cylindrical part i

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$\bold{\huge{\underline{ Solution }}}$

<h3><u>Given </u><u>:</u><u>-</u><u> </u></h3>

• The circus tent is composed of cylinder and a cone.

• The height and diameter of the cylindrical part are 7m and 10m

• The total height of the circus tent 19m

• The cost of making the tent at a cost of 35 m² cloth.

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u><u> </u></h3>

<u>Here</u><u>, </u><u> </u><u>we </u><u>have </u><u>,</u>

Cylinder and cone
The height and diameter of the cylinder are 7m and 10m
Therefore , radius = 5 m

<u>We </u><u>know </u><u>that</u><u>, </u>

Curved Surface area of the cylinder

$\sf{ = 2{\pi}rh}$

<u>Subsitute the required values, </u>

$\sf{ = 2{\times}3.14{\times}5{\times}7}$

$\sf{ = 6.28 {\times}5{\times}7}$

$\sf{ = 6.28 {\times}35}$

$\bold{ = 219.8m^{2}}$

Thus, The area of the cylinder is 219.8m² .

<h3><u>Now</u><u>, </u></h3>

•We have to find the area of the cone.

•Here, Base of cone = diameter of the cylinder.

•The height of the cone will be

= Height of the tent - Height of cylinder

$\sf{ = 19 - 7 }$

$\bold{ = 12 m }$

<u>We </u><u>know </u><u>that</u><u>, </u>

Area of cone

$\bold{ = {\pi}rl }$

Here, l is the slant height.

Slant height of the cone

$\sf{ = \sqrt{ h^{2} + r^{2}} }$

$\sf{ = \sqrt{ (12)^{2} + (5)^{2}} }$

$\sf{ = \sqrt{ 144 + 25}}$

$\sf{ = \sqrt{ 169}}$

$\sf{ = \sqrt{ 13{\times} 13 }}$

$\bold{ = 13 m }$

Thus, The slant height of the cone is 13 m

<u>Subsitute </u><u>the </u><u>required </u><u>values </u><u>in </u><u>the </u><u>above </u><u>formula </u>

$\sf{ = 3.14 {\times} 5 {\times} 13}$

$\sf{ = 3.14 {\times} 65}$

$\bold{ = 204.1 m^{2}}$

Thus, The area of the cone is 204.1 m² .

<h3><u>Therefore</u><u> </u><u>,</u></h3>

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$\sf{ = 204.1 + 219.8}$

$\bold{ = 423.9m^{2} \: or \: 424 m^{2}}$

<h3><u>Now</u><u>, </u></h3>

We have to find the total cost of making the tent.
The cost for 1 m² = 35

<u>Therefore</u><u>, </u>

The total cost for making the circus tent

$\sf{ = 424 {\times} 35}$

$\bold{ = 14840}$

Hence, The total cost for making the tent is 14840 .

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Answer: 2b^2 - 5bc

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3 years ago

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tankabanditka [31]

Answer:

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3 years ago

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With these preliminaries out of the way, we have the problem of multiplying

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There are numerous methods taught for finding this product. In the end, they all amount to multiplying every digit in one number by every digit in the other number and adding the results with appropriate place values. Several methods use 2-dimensional tables or arrays in their process. Here, we will use text on a line.

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3 years ago

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